RecurrenceFilter[{α,β},x] pads the input x so that . The values can be changed with the Padding option.»With Padding->None, the response y effectively starts at yj, and the output dimensions are normally smaller than the input.

The specified coefficients α and β are respectively the denominator and numerator polynomial coefficients of the desired transfer function model.

In RecurrenceFilter[tf,…], tf should be a single-input single-output (SISO) system.

RecurrenceFilter works with arbitrary-rank numerical arrays, 2D and 3D images, and sampled sound objects, operating separately on each channel.